Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts
作者：
Highlights：
• A new computationally efficient nonlinear model of fluid saturated porous media.
• Two-scale modelling of the Biot–Darcy continuum based on the homogenization.
• Deformation-dependent coefficients are computed using the sensitivity analysis.
• Nonlinear effects captured without any need to update local microstructures.
• Nonlinearity is pronounced especially for complex geometries of pores.
摘要
•A new computationally efficient nonlinear model of fluid saturated porous media.•Two-scale modelling of the Biot–Darcy continuum based on the homogenization.•Deformation-dependent coefficients are computed using the sensitivity analysis.•Nonlinear effects captured without any need to update local microstructures.•Nonlinearity is pronounced especially for complex geometries of pores.
论文关键词：Multiscale modeling,Porous media,Biot model,Homogenization,Sensitivity analysis,Nonlinear problems
论文评审过程：Available online 13 February 2015, Version of Record 20 September 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.01.054
